Elliptic curve data - 1050.g1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '1050i', 'Clabel': '1050i1', 'Cnumber': 1, 'abc_quality': 0.9636830884406813, 'absD': 3402000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [1, 0, 1, -171, 838], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1050, 'degree': 320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.091346603799118917943577558753', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [4386781853, 27216], 'lmfdb_iso': '1050.g', 'lmfdb_label': '1050.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -171, 838], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.b.1', '84.6.0.?', '210.6.0.?', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.16875893648028187333446620325', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31101287430940617570661227455', 'prec': 107}, 'szpiro_ratio': 3.8855744838159283, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, -1, 1, 1, 0, -1, -1, -1, 1, 0, -2, 1, -2, 1, 0, 1, -8, -1, -2, 0], 'aplist': [-1, 1, 0, -1, -2, -2, -8, -2, 0, -6, 6, -8, 6, -8, -4, 2, -8, 10, 12, -14, 10, 4, -16, 10, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 1050, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1050.g', 'trace_hash': 1218770429096738580}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.83302368187443506520904066024', 'prec': 103}, 'conductor': 1050, 'gens': [[2, 21, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.16875893648028187333446620325', 'prec': 103}], 'lmfdb_label': '1050.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.5211567220374541509662547583', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1273386355557719404788954865979991229', 'prec': 130}, 'tamagawa_product': 20, 'torsion_generators': [[7, -4, 1]], 'xcoord_integral_points': [-13, 2, 7, 8, 11, 23, 56]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [8, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1050.g1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 51470
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '1050.g1', 'torsion': [2, 2]}
  • id: 51471
    {'degree': 4, 'field': [5, -10, 5, 0, 1], 'lmfdb_label': '1050.g1', 'torsion': [4]}
  • id: 51472
    {'degree': 8, 'field': [-24, 108, -54, -96, 19, 32, -6, -4, 1], 'lmfdb_label': '1050.g1', 'torsion': [2, 4]}
  • id: 51473
    {'degree': 8, 'field': [1, 0, 9, 0, -4, 0, 9, 0, 1], 'lmfdb_label': '1050.g1', 'torsion': [2, 4]}
  • id: 51474
    {'degree': 8, 'field': [36, -2331, 2412, -163, 85, -7, 7, -4, 1], 'lmfdb_label': '1050.g1', 'torsion': [6]}
  • id: 51475
    {'degree': 16, 'field': [36, 288, 1008, 1536, 1366, 1752, 2048, 798, 367, 1170, 892, 174, -23, -48, -4, 0, 1], 'lmfdb_label': '1050.g1', 'torsion': [8]}
  • id: 51476
    {'degree': 16, 'field': [356736, 3422448, -6612288, 5564208, -1461408, -1390128, 1798312, -1239303, 547894, -181130, 53701, -12854, 2578, -455, 70, -6, 1], 'lmfdb_label': '1050.g1', 'torsion': [2, 6]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 14824
    {'conductor': 1050, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1050.g1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 14825
    {'conductor': 1050, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '1050.g1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 14826
    {'conductor': 1050, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '1050.g1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 14827
    {'conductor': 1050, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1050.g1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1671168
    {'adelic_gens': [[109, 316, 104, 315], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [62, 1, 179, 0], [417, 4, 416, 5], [142, 1, 139, 0], [88, 1, 83, 0]], 'adelic_image': '420.12.0.?', 'conductor': 1050, 'lmfdb_label': '1050.g1', 'prime': 0}
  • id: 4947
    {'conductor': 1050, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1050.g1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 24107
    {'lmfdb_iso': '1050.g', 'p': 11, 'prec': 20, 'unit': 55544433619442808356, 'val': 1}
  • id: 24113
    {'lmfdb_iso': '1050.g', 'p': 13, 'prec': 20, 'unit': 625947968619131285381, 'val': 1}
  • id: 24115
    {'lmfdb_iso': '1050.g', 'p': 17, 'prec': 20, 'unit': 200590312585892235315819, 'val': 1}
  • id: 24116
    {'lmfdb_iso': '1050.g', 'p': 19, 'prec': 20, 'unit': 136894380786890727828176, 'val': 1}
  • id: 24112
    {'lmfdb_iso': '1050.g', 'p': 29, 'prec': 20, 'unit': 4150577731996741279885941803, 'val': 1}
  • id: 24124
    {'lmfdb_iso': '1050.g', 'p': 31, 'prec': 20, 'unit': 7750113264787080678568281411, 'val': 1}
  • id: 24108
    {'lmfdb_iso': '1050.g', 'p': 37, 'prec': 20, 'unit': 521860505404049652752301538095, 'val': 1}
  • id: 24110
    {'lmfdb_iso': '1050.g', 'p': 41, 'prec': 20, 'unit': 500354471476146602461267025645, 'val': 1}
  • id: 24111
    {'lmfdb_iso': '1050.g', 'p': 43, 'prec': 20, 'unit': 2788540895726819747000088068796, 'val': 1}
  • id: 24122
    {'lmfdb_iso': '1050.g', 'p': 47, 'prec': 20, 'unit': 29014139158702055376003528095920, 'val': 1}
  • id: 24117
    {'lmfdb_iso': '1050.g', 'p': 53, 'prec': 20, 'unit': 2452646448166066674161415865184, 'val': 2}
  • id: 24118
    {'lmfdb_iso': '1050.g', 'p': 59, 'prec': 20, 'unit': 1552156009416789776594664161963736, 'val': 1}
  • id: 24123
    {'lmfdb_iso': '1050.g', 'p': 61, 'prec': 20, 'unit': 3749349423425516537291847821114461, 'val': 1}
  • id: 24106
    {'lmfdb_iso': '1050.g', 'p': 67, 'prec': 20, 'unit': 20074604660576824258635001699017622, 'val': 1}
  • id: 24109
    {'lmfdb_iso': '1050.g', 'p': 71, 'prec': 20, 'unit': 13279928748946800992940163971092131, 'val': 1}
  • id: 24119
    {'lmfdb_iso': '1050.g', 'p': 73, 'prec': 20, 'unit': 189149682203990270294325136943918564, 'val': 1}
  • id: 24114
    {'lmfdb_iso': '1050.g', 'p': 79, 'prec': 20, 'unit': 934270616329504758489825869027225740, 'val': 1}
  • id: 24120
    {'lmfdb_iso': '1050.g', 'p': 83, 'prec': 20, 'unit': 2490393158818347175022314257485436370, 'val': 1}
  • id: 24121
    {'lmfdb_iso': '1050.g', 'p': 89, 'prec': 20, 'unit': 2115615609622846511385988093843461827, 'val': 1}
  • id: 24105
    {'lmfdb_iso': '1050.g', 'p': 97, 'prec': 20, 'unit': 2454624498896483281412920989151108417, 'val': 1}